Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices

TL;DR

This paper introduces a real-time diagrammatic method to analyze adiabatic charge pumping in metallic island systems, accounting for weak to strong pumping regimes and tunnel-coupling effects.

Contribution

It develops a systematic perturbation approach for adiabatic pumping in metallic islands, extending analysis to both single and double-island configurations.

Findings

First-order tunnel-coupling effects renormalize the charging-energy gap.

The formalism captures the transition from weak to strong pumping.

Application to single and double-island systems demonstrates versatility.

Abstract

We present a real-time diagrammatic formalism to study adiabatic pumping in chains of tunnel-coupled metallic islands. This approach is based on an expansion to linear order in the frequency of the time-dependent parameters and on a systematic perturbation expansion in the tunnel-coupling strength. We apply our formalism to a single-island and a double-island system. In the single-island setup, we find that the first-order contribution in the tunnel-coupling strength is purely due to the renormalization of the charging-energy gap. In the double-island system, we investigate the transition between weak and strong pumping.